There may not be a particular need for weapon damage type info, though, as you only have enough skill points to train a very few types up to a decent level. It would help, however, if you mostly fight one or two factions most of the time. This would enable you to make wiser decisions as you skill up or reskill.
If I'm misunderstanding how the weapon types work here and it is simply a matter of what effect you want determining your weapon of choice, please tell me. I have to assume much in this game since Cryptic does not document details in-game or on it's website. I would like to think there is a bit of strategy in the damage/defense area, but I could be dreaming.